Question

The frequency distribution of the hourly wage rate of 60 employees of a paper mill is as follows: The mean wage rate is: Rate (Rs.) 54-56 56-58 58-60,60-62 ,62-64 Number of Workers 10 ,10,20, 10,10​

Answer 1

Step-by-step explanation:

Given:The frequency distribution of the hourly wage rate of 60 employees of a paper mill is as follows: The mean wage rate is:

Rate (Rs.) 54-56 56-58 58-60,60-62 ,62-64 Number of Workers 10 ,10,20, 10,10

To find:Mean wages

Solution:

To find mean wages of the workers,first draw the table,Class mark can be calculated using the formula

$x_i=\frac{Lower\:Class\:Limit}{Upper\:Class\:Limit}$

$\begin{tabular}{|c|c|c|c|}\cline{1-4}Rate(Rs)& Frequency(f_i)&x_i&x_if_i\\\cline{1-4}54-56&10&55&550\\\cline{1-4}56-58&10&57&570\\\cline{1-4}58-60&20&59&1180\\\cline{1-4}60-62&10&61&610\\\cline{1-4}62-64&10&63&630\\\cline{1-4}&\Sigma f_i=60&&\Sigma x_if_i=3540\\\cline{1-4}\end{tabular}$

Now put the value of summation frequency and xifi in the formula

$\boxed{ \bold{\bar x = \frac{\Sigma\:x_if_i}{\Sigma\:f_i}}} \\ \\ \bar x = \frac{3540}{60} \\ \\ \bar x = 59$

Hourly mean wages of workers are Rs 59.

Hope it helps you.

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Answer 2

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